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Finding the Fourth Proportional to 502,925.32, 694,015.80 and 285,148.64

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Solution

The fourth proportional to 502,925.32, 694,015.80 and 285,148.64 is: 393,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,925.32 : 694,015.80 = 285,148.64 : x
  2. Step 2: Convert to fraction form
    502,925.32/694,015.80 = 285,148.64/x
  3. Step 3: Cross multiply
    502,925.32x = 694,015.80 × 285,148.64
  4. Step 4: Simplify right side
    502,925.32x = 197,897,661,508.51
  5. Step 5: Solve for x
    x = 197,897,661,508.51/502,925.32
  6. Step 6: Final answer
    x = 393,493.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.